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Finding the Fourth Proportional to 183,299, 274,590.54 and 126,362.84

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Solution

The fourth proportional to 183,299, 274,590.54 and 126,362.84 is: 189,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,299 : 274,590.54 = 126,362.84 : x
  2. Step 2: Convert to fraction form
    183,299/274,590.54 = 126,362.84/x
  3. Step 3: Cross multiply
    183,299x = 274,590.54 × 126,362.84
  4. Step 4: Simplify right side
    183,299x = 34,698,040,471.53
  5. Step 5: Solve for x
    x = 34,698,040,471.53/183,299
  6. Step 6: Final answer
    x = 189,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.